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Math 9 · Unit 8: Fractions · Cambridge Lower Secondary Maths Stage 9

8.1 Fractions and recurring decimals

34 questions · e.g. Is 48 minutes, as a fraction of an hour, terminating?

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Questions

  1. 1. 1/8 = 0.125. Fill in the squares.

    1/8 = 0.125 which is a terminating decimal2/8 = 2 × 1/8 = 2 × 0.125 =3/8 = 3 × 1/8 = 3 × 0.125 =5/8 = 5 × 1/8 = 5 × 0.125 =

    Fill the blanks with these.

    Check
  2. 2. 1/20 = 0.05. Fill in the squares.

    1/20 = 0.05 which is a terminating decimal3/20 = 3 × 1/20 = 3 × 0.05 =5/20 = 5 × 1/20 = 5 × 0.05 =9/20 = 9 × 1/20 = 9 × 0.05 =

    Fill the blanks with these.

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  3. 3. Work out the equivalent decimal of 1/6.

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  4. 4. Is 1/6 a terminating or recurring decimal?

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  5. 5. 1/6 = 0.1666…, a recurring decimal. What are 2/6, 3/6, 4/6 and 5/6 as decimals, in that order?

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  6. 6. Work out the decimal equivalent of 1/25.

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  7. 7. Is 1/25 a terminating or recurring decimal?

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  8. 8. 1/25 = 0.04, a terminating decimal. What are 2/25, 5/25, 11/25 and 20/25 as decimals, in that order?

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  9. 9. Would it be easier to write 5/25 and 20/25 in their simplest form before changing them into decimals?

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  10. 10. Without doing any calculations, are these fractions terminating or recurring decimals?

    A14B15C18D110E116
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  11. 11. All the numerators are changed from 1 to 2, so the cards now look like this. Are all the fractions still terminating decimals?

    A24B25C28D210E216
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  12. 12. When all the numerators in part b are changed from 2 to 3, are all the fractions still terminating decimals?

    A24B25C28D210E216
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  13. 13. 'A fraction with a denominator of 14 is a recurring decimal.' Is this always, sometimes or never true?

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  14. 14. 'A fraction with a denominator that is a multiple of 5 is a recurring decimal.' Always, sometimes or never true?

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  15. 15. 'A unit fraction with a denominator that is a multiple of 15 is a terminating decimal.' Always, sometimes or never true?

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  16. 16. 'A proper fraction with a denominator that is a power of 3 is a recurring decimal.' Always, sometimes or never true?

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  17. 17. Without doing any calculations, do you think these fractions are terminating or recurring decimals?

    A59B318C1127D636E1345
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  18. 18. Tick the 2 fractions that are different from the others.

    A59B318C1127D636E1345

    Tick all the right answers.

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  19. 19. What must Marcus add to his statement to make it true?

    MarcusAny fraction with a denominator whichis a multiple of 9 is a recurring decimal.ZaraThat's not true, because 9/36 = 1/4which is not recurring and 9/18 = 1/2which is not recurring.
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  20. 20. Write 15 minutes as a fraction of an hour. Is it a terminating decimal?

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